### Abstract

We study vacuum structure of N = 1 supersymmetric quiver gauge theories which can be realized geometrically by D-brane probes wrapping cycles of local Calabi-Yau three-folds. In particular, we show that the A_{2} quiver theory with gauge group U (N_{1}) × U (N_{2}) with frac(1, 2) N_{1} < N_{2} < frac(2, 3) N_{1} has a regime with an infrared free description that is partially magnetic and partially electric. Using this dual description, we show that the model has a landscape of inequivalent meta-stable vacua where supersymmetry is dynamically broken and all the moduli are stabilized. Each vacuum has distinct unbroken gauge symmetry. The gaugino masses are generated by radiative corrections, and we are left with the bosonic pure Yang-Mills theory in the infrared. We also identify the supersymmetric vacua in this model using their infrared free descriptions and show that the decay rates of the supersymmetry breaking vacua can be made parametrically small.

Original language | English |
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Pages (from-to) | 239-253 |

Number of pages | 15 |

Journal | Nuclear Physics B |

Volume | 755 |

Issue number | 1-3 |

DOIs | |

Publication status | Published - Oct 30 2006 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## Cite this

*Nuclear Physics B*,

*755*(1-3), 239-253. https://doi.org/10.1016/j.nuclphysb.2006.08.009